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Finding the Fourth Proportional to 4,210.78, 6,316.12 and 1,613.71

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Solution

The fourth proportional to 4,210.78, 6,316.12 and 1,613.71 is: 2,420.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,210.78 : 6,316.12 = 1,613.71 : x
  2. Step 2: Convert to fraction form
    4,210.78/6,316.12 = 1,613.71/x
  3. Step 3: Cross multiply
    4,210.78x = 6,316.12 × 1,613.71
  4. Step 4: Simplify right side
    4,210.78x = 10,192,409.14
  5. Step 5: Solve for x
    x = 10,192,409.14/4,210.78
  6. Step 6: Final answer
    x = 2,420.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.